Definition of cork up:
(v) :
(usually imperative, slang, intransitive) Shut up; be quiet.
(v) :
(transitive) To make (someone) be quiet.
(v) :
(transitive, figurative) To suppress an emotion or impulse.
(v) :
(transitive) To enclose in a bottle sealed with a cork.
(v) :
(transitive) To block with a cork or something similar.
(v) :
(transitive, intransitive, baseball) To put cork in a baseball bat; to use a baseball bat with cork in it.